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Finding the Fourth Proportional to 161.97, 241.55 and 152.88

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Solution

The fourth proportional to 161.97, 241.55 and 152.88 is: 227.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.97 : 241.55 = 152.88 : x
  2. Step 2: Convert to fraction form
    161.97/241.55 = 152.88/x
  3. Step 3: Cross multiply
    161.97x = 241.55 × 152.88
  4. Step 4: Simplify right side
    161.97x = 36,927.67
  5. Step 5: Solve for x
    x = 36,927.67/161.97
  6. Step 6: Final answer
    x = 227.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.